Finding the Fourth Proportional to 1,462, 2,017.62 and 841
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Solution
The fourth proportional to 1,462, 2,017.62 and 841 is: 1,160.61
Step by Step Solution
- Step 1: Write the proportion equation
1,462 : 2,017.62 = 841 : x - Step 2: Convert to fraction form
1,462/2,017.62 = 841/x - Step 3: Cross multiply
1,462x = 2,017.62 × 841 - Step 4: Simplify right side
1,462x = 1,696,818.42 - Step 5: Solve for x
x = 1,696,818.42/1,462 - Step 6: Final answer
x = 1,160.61
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.